Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/58,29/45,467/141
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 36,29,467
Greatest Common Factor of Numerators i.e. GCF of 36,29,467 is 1 .
LCM of Denominators means LCM of 58,45,141 as per the given fractions.
LCM of 58,45,141 is 122670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,29,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Greatest Common Factor
We found the factors 36,29,467 . The biggest common factor number is the GCF number.
So the greatest common factor 36,29,467 is 1.
Lets's calculate LCM of 58,45,141
3 | 58, 45, 141 |
58, 15, 47 |
∴ So the LCM of the given numbers is 3 x 58 x 15 x 47 = 122670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122670
Therefore, the GCF of Fractions 36/58,29/45,467/141 is 1/122670
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 58,45,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,45,141) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(58,45,141) x common factors =1 x 3 = 3
LCM(58,45,141) = ( 58 × 45 × 141 ) / 3
LCM(58,45,141) = 368010 / 3
LCM(58,45,141) = 122670
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 36/58, 29/45, 467/141?
Answer: GCF of Numerators as per given numbers 36/58, 29/45, 467/141 is
GCF of Numerators i.e. for 36,29,467 is 1
LCM of denominators i.e. for 58,45,141 is 122670.
Thus, GCF of Fractions is 1/122670.Finally, GCF of Fractions for 36/58, 29/45, 467/141 is 1/122670.